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Finding the Fourth Proportional to 35,766.48, 49,357 and 19,850

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Solution

The fourth proportional to 35,766.48, 49,357 and 19,850 is: 27,392.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,766.48 : 49,357 = 19,850 : x
  2. Step 2: Convert to fraction form
    35,766.48/49,357 = 19,850/x
  3. Step 3: Cross multiply
    35,766.48x = 49,357 × 19,850
  4. Step 4: Simplify right side
    35,766.48x = 979,736,450
  5. Step 5: Solve for x
    x = 979,736,450/35,766.48
  6. Step 6: Final answer
    x = 27,392.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.